Oscillating electric charge radiates electromagnetic waves [1]}, in accordance with Maxwell's theory [2]}. Localized charge density can be expanded into multipoles at any time. Since the total charge of a binary system is zero, the lowest order contribution to radiation comes from the oscillating electric dipole moment.
The power radiated by a localized but otherwise arbitrary electric dipole moment \(\bf {p}\) , calculated in the far-field approximation, is [3]}, [4]}
\(P = \frac{2}{3\, c^3}\, |\ddot{{\bf p}}|^2 \,,\) 
